#### Assume(16.2.01)

##### John Trapp

I am sure that this has been reported before.

In each case the solution is 1/3ln(t~-3)-1/3ln(t~+3). Maple does not recognize the domain of the integrand at all and we have the log of a negative number. Ugly.

##### Carl DeVore (19.2.01)

If you allow for the constant of integration to be complex, then the result makes sense. If you evaluate this anitiderivative between real limits, you will get a real answer.

I do realize, however, that this is diﬃcult to explain to a beginning calculus student when you’re trying to teach them Maple.

##### E. Elbraechter (20.2.01)

Note that no constant of integration appears in the result.

Therefore the integral of an real valued integrand can have a constant imaginary part;

For -3 < t < 3 this is a real valued expression.

##### Adri van der Meer (20.2.01)

Try:

and Maple will recognize the assumption made on t.